GCF of 666/672, 1005/638
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 666/672, 1005/638 i.e 3/214368 easily. The following is the detailed procedure to determine the greatest common factor of fractions 666/672, 1005/638.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 666/672,1005/638?
Given fractions are 666/672,1005/638
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 666/672,1005/638, numerators are 666,1005
Denominators are 672,638
The GCF of 666,1005 is 3 .
LCM of 672,638 is 214368.
The greatest common factor of 666/672,1005/638 = [GCF of 666,1005]/[LCM of 672,638]= 3/214368
Therefore, the GCF of 666/672,1005/638 is 3/214368.
To find the highest common factor of 666,1005, we have to find the factors of both numbers and list the highest common factor.
The factors of 666 are 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
The factors of 1005 are 1, 3, 5, 15, 67, 201, 335, 1005
The HCF of 666,1005 is 3.
Lets's calculate GCF of 666,1005
| 3 | 666, 1005 |
| 222, 335 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 666,1005 By Matching Biggest Common Factor Method
Now, list down the factors of 666
:1,2,3,6,9,18,37,74,111,222,333,666
Now, list down the factors of 1005
:1,3,5,15,67,201,335,1005
Greatest Common Factor
We found the factors 666,1005 . The biggest common factor number is the GCF number.
So the greatest common factor 666,1005 is 3.
Lets's calculate LCM of 672,638
| 2 | 672, 638 |
| 336, 319 |
∴ So the LCM of the given numbers is 2 x 336 x 319 = 214368
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/214368
Therefore, the GCF of Fractions 666/672,1005/638 is 3/214368
Least Common Multiple of 672,638 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 672,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(672,638) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(672,638) x common factors =2 x 1 = 2
LCM(672,638) = ( 672 × 638 ) / 2
LCM(672,638) = 428736 / 2
LCM(672,638) = 214368
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FAQs on GCF of Fractions of 666/672, 1005/638
1. What is the HCF of 666,1005?
The HCF of 666,1005 is 3
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 666/672, 1005/638?
Answer: GCF of Numerators as per given numbers 666/672, 1005/638 is
GCF of Numerators i.e. for 666,1005 is 3
LCM of denominators i.e. for 672,638 is 214368.
Thus, GCF of Fractions is 3/214368.Finally, GCF of Fractions for 666/672, 1005/638 is 3/214368.